A discontinuous Galerkin method for viscous compressible multifluids

Michoski C.; Evans J.A.; Schmitz P.G.; Vasseur A.

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A discontinuous Galerkin method for viscous compressible multifluids

机译：粘性可压缩多流体的不连续Galerkin方法

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We present a generalized discontinuous Galerkin method for a multicomponent compressible barotropic Navier-Stokes system of equations. The system presented has a functional viscosity ν which depends on the pressure p = p (ρ, μ_i) of the flow, with the density ρ and the local concentration μ_i. High order Runge-Kutta time-discretization techniques are employed, and different methods of dealing with arbitrary coupled boundary conditions are discussed. Analysis of the energy consistency of the scheme is performed in addition to inspection of the relative error of the solution compared to exact analytic test cases. Finally several examples, comparisons, generalizations and physical applications are presented.

机译：我们为方程的多分量可压缩正压Navier-Stokes系统提出了一种广义不连续Galerkin方法。所示系统的功能粘度ν取决于流体的压力p = p（ρ，μ_i），密度p和局部浓度μ_i。采用高阶Runge-Kutta时间离散技术，并讨论了处理任意耦合边界条件的不同方法。除了检查溶液的相对误差（与精确的分析测试用例相比）之外，还执行该方案的能量一致性分析。最后，给出了一些示例，比较，概括和物理应用。

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《Journal of Computational Physics》 |2010年第6期|共18页
作者
Michoski C.; Evans J.A.; Schmitz P.G.; Vasseur A.;
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正文语种 eng
中图分类数学物理方法;
关键词
Acoustic; Barotropic; Chemical; Compressible flow; Discontinuous Galerkin; Miscible; Mixing; Multicomponent; Multifluid; Multiphase; Navier-Stokes; Numerical methods; Runge-Kutta; Viscous;

机译：声;正液;化学;可压缩流;间断Galerkin;可混溶;混合;多组分;多流体;多相;Navier-Stokes;数值方法;Runge-Kutta;粘性;

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1. A discontinuous Galerkin method for viscous compressible multifluids [J] . Michoski C., Evans J.A., Schmitz P.G., Journal of Computational Physics . 2010,第6期

机译：粘性可压缩多流体的不连续Galerkin方法
2. Higher-order multi-dimensional limiting strategy for discontinuous Galerkin methods in compressible inviscid and viscous flows [J] . Jin Seok Park, Chongam Kim Computers & Fluids . 2014,第Null期

机译：可压缩不粘和粘滞流不连续Galerkin方法的高阶多维限制策略
3. Simulation of a viscous compressible flow past a circular cylinder with high-order discontinuous Galerkin methods [J] . A. Burbeau, P. Sagaut Computers & Fluids . 2002,第8期

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4. A Discontinuous Petrov-Galerkin Method for Compressible Viscous Flows in Three Dimensions [C] . Waldemar Rachowicz, Adam Zdunek, Witold Cecot Polish Congress of Mechanics;International Conference on Computer Methods in Mechanics . 2020

机译：一种不连续的Petrov-Galerkin方法，用于三维可压缩粘性流动
5. Differential formulation of discontinuous Galerkin and related methods for compressible Euler and Navier-Stokes equations. [D] . Gao, Haiyang. 2011

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6. Comparison of reduced models for blood flow using Runge–Kutta discontinuous Galerkin methods [O] . Charles Puelz, Sunčica Čanić, Béatrice Rivière, -1

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7. A discontinuous Petrov-Galerkin method for compressible viscous flows in three dimensions [O] . Waldemar Rachowicz, Adam Zdunek, Witold Cecot 2020

机译：一种不连续的Petrov-Galerkin方法，用于三维的可压缩粘性流动
8. Set of Parallel, Implicit Methods for a Reconstructed Discontinuous Galerkin Method for Compressible Flows on 3d Hybrid Grids. [R] . Xia, Y., Luo, H., Frisbey, M., 2014

机译：三维混合网格上可压缩流重构间断Galerkin方法的并行隐式方法。

A discontinuous Galerkin method for viscous compressible multifluids

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